15.91/15.70	MAYBE
15.91/15.70	
15.91/15.70	DP problem for innermost termination.
15.91/15.70	P =
15.91/15.70	  f13#(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10) -> f12#(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10) 
15.91/15.70	  f12#(I0, I1, I2, I3, I4, I5, I6, I7, I8, I9) -> f1#(rnd1, I1, I2, I3, I4, I5, rnd7, I7, I8, 1) [y1 = 1 /\ rnd1 = rnd1 /\ rnd7 = rnd1]
15.91/15.70	  f3#(I10, I11, I12, I13, I14, I15, I16, I17, I18, I19) -> f6#(I10, I11, I12, I13, I14, I15, I16, I17, I18, I19) [I18 <= 0]
15.91/15.70	  f3#(I20, I21, I22, I23, I24, I25, I26, I27, I28, I29) -> f2#(I20, I21, I22, I23, I24, I25, I26, I27, I28, I29) [1 <= I28]
15.91/15.70	  f2#(I30, I31, I32, I33, I34, I35, I36, I37, I38, I39) -> f10#(I30, I31, rnd3, I33, I34, I35, I36, rnd8, I38, 0) [rnd8 = rnd3 /\ rnd3 = rnd3 /\ 1 <= I39]
15.91/15.70	  f2#(I40, I41, I42, I43, I44, I45, I46, I47, I48, I49) -> f10#(I40, I41, I42, I43, I44, I45, I46, I47, I48, I49) [I49 <= 0]
15.91/15.70	  f11#(I50, I51, I52, I53, I54, I55, I56, I57, I58, I59) -> f7#(I50, I51, I52, I53, I54, I55, I56, I57, I58, I59) 
15.91/15.70	  f7#(I60, I61, I62, I63, I64, I65, I66, I67, I68, I69) -> f11#(I60, I61, I62, I63, I64, I65, I66, I67, I68, I69) 
15.91/15.70	  f10#(I70, I71, I72, I73, I74, I75, I76, I77, I78, I79) -> f9#(I70, I71, I72, I73, I74, rnd6, I76, I77, I78, I79) [rnd6 = rnd6 /\ I79 <= 0]
15.91/15.70	  f10#(I80, I81, I82, I83, I84, I85, I86, I87, I88, I89) -> f8#(I80, I81, I82, I83, I84, I85, I86, I87, I88, I89) [1 <= I89]
15.91/15.70	  f9#(I90, I91, I92, I93, I94, I95, I96, I97, I98, I99) -> f8#(I90, I91, I92, I93, I94, I95, I96, I97, I98, 1) [1000 <= I95 - I97]
15.91/15.70	  f9#(I100, I101, I102, I103, I104, I105, I106, I107, I108, I109) -> f8#(I100, I101, I102, I103, I104, I105, I106, I107, I108, I109) [1 + I105 - I107 <= 1000]
15.91/15.70	  f8#(I110, I111, I112, I113, I114, I115, I116, I117, I118, I119) -> f6#(I110, I111, I112, rnd4, I114, I115, I116, I117, I118, I119) [rnd4 = rnd4]
15.91/15.70	  f6#(I120, I121, I122, I123, I124, I125, I126, I127, I128, I129) -> f7#(I120, I121, I122, I123, I124, I125, I126, I127, I128, I129) 
15.91/15.70	  f1#(I140, I141, I142, I143, I144, I145, I146, I147, I148, I149) -> f3#(I140, rnd2, I142, I143, 1, I145, 0, I147, rnd9, I149) [rnd9 = rnd2 /\ rnd2 = rnd2 /\ 1 <= I146]
15.91/15.70	  f1#(I150, I151, I152, I153, I154, I155, I156, I157, I158, I159) -> f2#(I150, I151, I152, I153, I154, I155, I156, I157, I158, I159) [I156 <= 0]
15.91/15.70	R = 
15.91/15.70	  f13(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10) -> f12(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10) 
15.91/15.70	  f12(I0, I1, I2, I3, I4, I5, I6, I7, I8, I9) -> f1(rnd1, I1, I2, I3, I4, I5, rnd7, I7, I8, 1) [y1 = 1 /\ rnd1 = rnd1 /\ rnd7 = rnd1]
15.91/15.70	  f3(I10, I11, I12, I13, I14, I15, I16, I17, I18, I19) -> f6(I10, I11, I12, I13, I14, I15, I16, I17, I18, I19) [I18 <= 0]
15.91/15.70	  f3(I20, I21, I22, I23, I24, I25, I26, I27, I28, I29) -> f2(I20, I21, I22, I23, I24, I25, I26, I27, I28, I29) [1 <= I28]
15.91/15.70	  f2(I30, I31, I32, I33, I34, I35, I36, I37, I38, I39) -> f10(I30, I31, rnd3, I33, I34, I35, I36, rnd8, I38, 0) [rnd8 = rnd3 /\ rnd3 = rnd3 /\ 1 <= I39]
15.91/15.70	  f2(I40, I41, I42, I43, I44, I45, I46, I47, I48, I49) -> f10(I40, I41, I42, I43, I44, I45, I46, I47, I48, I49) [I49 <= 0]
15.91/15.70	  f11(I50, I51, I52, I53, I54, I55, I56, I57, I58, I59) -> f7(I50, I51, I52, I53, I54, I55, I56, I57, I58, I59) 
15.91/15.70	  f7(I60, I61, I62, I63, I64, I65, I66, I67, I68, I69) -> f11(I60, I61, I62, I63, I64, I65, I66, I67, I68, I69) 
15.91/15.70	  f10(I70, I71, I72, I73, I74, I75, I76, I77, I78, I79) -> f9(I70, I71, I72, I73, I74, rnd6, I76, I77, I78, I79) [rnd6 = rnd6 /\ I79 <= 0]
15.91/15.70	  f10(I80, I81, I82, I83, I84, I85, I86, I87, I88, I89) -> f8(I80, I81, I82, I83, I84, I85, I86, I87, I88, I89) [1 <= I89]
15.91/15.70	  f9(I90, I91, I92, I93, I94, I95, I96, I97, I98, I99) -> f8(I90, I91, I92, I93, I94, I95, I96, I97, I98, 1) [1000 <= I95 - I97]
15.91/15.70	  f9(I100, I101, I102, I103, I104, I105, I106, I107, I108, I109) -> f8(I100, I101, I102, I103, I104, I105, I106, I107, I108, I109) [1 + I105 - I107 <= 1000]
15.91/15.70	  f8(I110, I111, I112, I113, I114, I115, I116, I117, I118, I119) -> f6(I110, I111, I112, rnd4, I114, I115, I116, I117, I118, I119) [rnd4 = rnd4]
15.91/15.70	  f6(I120, I121, I122, I123, I124, I125, I126, I127, I128, I129) -> f7(I120, I121, I122, I123, I124, I125, I126, I127, I128, I129) 
15.91/15.70	  f4(I130, I131, I132, I133, I134, I135, I136, I137, I138, I139) -> f5(I130, I131, I132, I133, I134, I135, I136, I137, I138, I139) 
15.91/15.70	  f1(I140, I141, I142, I143, I144, I145, I146, I147, I148, I149) -> f3(I140, rnd2, I142, I143, 1, I145, 0, I147, rnd9, I149) [rnd9 = rnd2 /\ rnd2 = rnd2 /\ 1 <= I146]
15.91/15.70	  f1(I150, I151, I152, I153, I154, I155, I156, I157, I158, I159) -> f2(I150, I151, I152, I153, I154, I155, I156, I157, I158, I159) [I156 <= 0]
15.91/15.70	
15.91/15.70	The dependency graph for this problem is:
15.91/15.70	  0 -> 1
15.91/15.70	  1 -> 14, 15
15.91/15.70	  2 -> 13
15.91/15.70	  3 -> 4, 5
15.91/15.70	  4 -> 8
15.91/15.70	  5 -> 8
15.91/15.70	  6 -> 7
15.91/15.70	  7 -> 6
15.91/15.70	  8 -> 10, 11
15.91/15.70	  9 -> 12
15.91/15.70	  10 -> 12
15.91/15.70	  11 -> 12
15.91/15.70	  12 -> 13
15.91/15.70	  13 -> 7
15.91/15.70	  14 -> 2, 3
15.91/15.70	  15 -> 4, 5
15.91/15.70	Where:
15.91/15.70	  0) f13#(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10) -> f12#(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10) 
15.91/15.70	  1) f12#(I0, I1, I2, I3, I4, I5, I6, I7, I8, I9) -> f1#(rnd1, I1, I2, I3, I4, I5, rnd7, I7, I8, 1) [y1 = 1 /\ rnd1 = rnd1 /\ rnd7 = rnd1]
15.91/15.70	  2) f3#(I10, I11, I12, I13, I14, I15, I16, I17, I18, I19) -> f6#(I10, I11, I12, I13, I14, I15, I16, I17, I18, I19) [I18 <= 0]
15.91/15.70	  3) f3#(I20, I21, I22, I23, I24, I25, I26, I27, I28, I29) -> f2#(I20, I21, I22, I23, I24, I25, I26, I27, I28, I29) [1 <= I28]
15.91/15.70	  4) f2#(I30, I31, I32, I33, I34, I35, I36, I37, I38, I39) -> f10#(I30, I31, rnd3, I33, I34, I35, I36, rnd8, I38, 0) [rnd8 = rnd3 /\ rnd3 = rnd3 /\ 1 <= I39]
15.91/15.70	  5) f2#(I40, I41, I42, I43, I44, I45, I46, I47, I48, I49) -> f10#(I40, I41, I42, I43, I44, I45, I46, I47, I48, I49) [I49 <= 0]
15.91/15.70	  6) f11#(I50, I51, I52, I53, I54, I55, I56, I57, I58, I59) -> f7#(I50, I51, I52, I53, I54, I55, I56, I57, I58, I59) 
15.91/15.70	  7) f7#(I60, I61, I62, I63, I64, I65, I66, I67, I68, I69) -> f11#(I60, I61, I62, I63, I64, I65, I66, I67, I68, I69) 
15.91/15.70	  8) f10#(I70, I71, I72, I73, I74, I75, I76, I77, I78, I79) -> f9#(I70, I71, I72, I73, I74, rnd6, I76, I77, I78, I79) [rnd6 = rnd6 /\ I79 <= 0]
15.91/15.70	  9) f10#(I80, I81, I82, I83, I84, I85, I86, I87, I88, I89) -> f8#(I80, I81, I82, I83, I84, I85, I86, I87, I88, I89) [1 <= I89]
15.91/15.70	  10) f9#(I90, I91, I92, I93, I94, I95, I96, I97, I98, I99) -> f8#(I90, I91, I92, I93, I94, I95, I96, I97, I98, 1) [1000 <= I95 - I97]
15.91/15.70	  11) f9#(I100, I101, I102, I103, I104, I105, I106, I107, I108, I109) -> f8#(I100, I101, I102, I103, I104, I105, I106, I107, I108, I109) [1 + I105 - I107 <= 1000]
15.91/15.70	  12) f8#(I110, I111, I112, I113, I114, I115, I116, I117, I118, I119) -> f6#(I110, I111, I112, rnd4, I114, I115, I116, I117, I118, I119) [rnd4 = rnd4]
15.91/15.70	  13) f6#(I120, I121, I122, I123, I124, I125, I126, I127, I128, I129) -> f7#(I120, I121, I122, I123, I124, I125, I126, I127, I128, I129) 
15.91/15.70	  14) f1#(I140, I141, I142, I143, I144, I145, I146, I147, I148, I149) -> f3#(I140, rnd2, I142, I143, 1, I145, 0, I147, rnd9, I149) [rnd9 = rnd2 /\ rnd2 = rnd2 /\ 1 <= I146]
15.91/15.70	  15) f1#(I150, I151, I152, I153, I154, I155, I156, I157, I158, I159) -> f2#(I150, I151, I152, I153, I154, I155, I156, I157, I158, I159) [I156 <= 0]
15.91/15.70	
15.91/15.70	We have the following SCCs.
15.91/15.70	  { 6, 7 }
15.91/15.70	
15.91/15.70	DP problem for innermost termination.
15.91/15.70	P =
15.91/15.70	  f11#(I50, I51, I52, I53, I54, I55, I56, I57, I58, I59) -> f7#(I50, I51, I52, I53, I54, I55, I56, I57, I58, I59) 
15.91/15.70	  f7#(I60, I61, I62, I63, I64, I65, I66, I67, I68, I69) -> f11#(I60, I61, I62, I63, I64, I65, I66, I67, I68, I69) 
15.91/15.70	R = 
15.91/15.70	  f13(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10) -> f12(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10) 
15.91/15.70	  f12(I0, I1, I2, I3, I4, I5, I6, I7, I8, I9) -> f1(rnd1, I1, I2, I3, I4, I5, rnd7, I7, I8, 1) [y1 = 1 /\ rnd1 = rnd1 /\ rnd7 = rnd1]
15.91/15.70	  f3(I10, I11, I12, I13, I14, I15, I16, I17, I18, I19) -> f6(I10, I11, I12, I13, I14, I15, I16, I17, I18, I19) [I18 <= 0]
15.91/15.70	  f3(I20, I21, I22, I23, I24, I25, I26, I27, I28, I29) -> f2(I20, I21, I22, I23, I24, I25, I26, I27, I28, I29) [1 <= I28]
15.91/15.70	  f2(I30, I31, I32, I33, I34, I35, I36, I37, I38, I39) -> f10(I30, I31, rnd3, I33, I34, I35, I36, rnd8, I38, 0) [rnd8 = rnd3 /\ rnd3 = rnd3 /\ 1 <= I39]
15.91/15.70	  f2(I40, I41, I42, I43, I44, I45, I46, I47, I48, I49) -> f10(I40, I41, I42, I43, I44, I45, I46, I47, I48, I49) [I49 <= 0]
15.91/15.70	  f11(I50, I51, I52, I53, I54, I55, I56, I57, I58, I59) -> f7(I50, I51, I52, I53, I54, I55, I56, I57, I58, I59) 
15.91/15.70	  f7(I60, I61, I62, I63, I64, I65, I66, I67, I68, I69) -> f11(I60, I61, I62, I63, I64, I65, I66, I67, I68, I69) 
15.91/15.70	  f10(I70, I71, I72, I73, I74, I75, I76, I77, I78, I79) -> f9(I70, I71, I72, I73, I74, rnd6, I76, I77, I78, I79) [rnd6 = rnd6 /\ I79 <= 0]
15.91/15.70	  f10(I80, I81, I82, I83, I84, I85, I86, I87, I88, I89) -> f8(I80, I81, I82, I83, I84, I85, I86, I87, I88, I89) [1 <= I89]
15.91/15.70	  f9(I90, I91, I92, I93, I94, I95, I96, I97, I98, I99) -> f8(I90, I91, I92, I93, I94, I95, I96, I97, I98, 1) [1000 <= I95 - I97]
15.91/15.70	  f9(I100, I101, I102, I103, I104, I105, I106, I107, I108, I109) -> f8(I100, I101, I102, I103, I104, I105, I106, I107, I108, I109) [1 + I105 - I107 <= 1000]
15.91/15.70	  f8(I110, I111, I112, I113, I114, I115, I116, I117, I118, I119) -> f6(I110, I111, I112, rnd4, I114, I115, I116, I117, I118, I119) [rnd4 = rnd4]
15.91/15.70	  f6(I120, I121, I122, I123, I124, I125, I126, I127, I128, I129) -> f7(I120, I121, I122, I123, I124, I125, I126, I127, I128, I129) 
15.91/15.70	  f4(I130, I131, I132, I133, I134, I135, I136, I137, I138, I139) -> f5(I130, I131, I132, I133, I134, I135, I136, I137, I138, I139) 
15.91/15.70	  f1(I140, I141, I142, I143, I144, I145, I146, I147, I148, I149) -> f3(I140, rnd2, I142, I143, 1, I145, 0, I147, rnd9, I149) [rnd9 = rnd2 /\ rnd2 = rnd2 /\ 1 <= I146]
15.91/15.70	  f1(I150, I151, I152, I153, I154, I155, I156, I157, I158, I159) -> f2(I150, I151, I152, I153, I154, I155, I156, I157, I158, I159) [I156 <= 0]
15.91/15.70	
15.91/18.68	EOF